Videos

Omer Angel - Phase transitions in the frog model - IPAM at UCLA

Presenter
January 30, 2026
Abstract
Recorded 30 January 2026. Omer Angel of the University of British Columbia presents "Phase transitions in the frog model" at IPAM's New Interactions Between Probability and Geometry Workshop. Abstract: The frog model is an interacting particle system modeling spread of an infection in a moving population, among other things. It can also be viewed as a model of dependent, directed percolation. We show that the model exhibits a phase transition on several classes of transitive graphs, including polynomial growth and non-amenable graphs. We further show that the phase transition is sharp. Joint work with Jonathan Hermon, Daniel de la Riva Massaad, and Yuliang Shi. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/new-interactions-between-probability-and-geometry/?tab=overview